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Complement number Discussion
1’ s Complement Discussion
Binary numbers can also be represented by ‘radix’ and ‘radix -
1’s complement of a binary number N is obtained by the formula : -
Where n is the no of bits in number N
Example
Convert binary number 111001101 to 1’s complement.
Method:
N = 111001101
n = 9
2^n = 256 = 100000000
2^n -
1’s complement of N = (100000000 – 1) -
011111111
– 111001101
= 000110010
Answer:
1’s complement of N is 000110010
Trick:
Invert all the bits of the binary number
N = 111001101
1’s complement of N is 000110010
Refer 2’ s Complement from here.
Refer 2’ s Complement from here.
Resources
Digital design resources
Clock Domain Crossing Discussion with
rtl & testbench example.
Rate change(asynchronous) FIFO design and fifo depth calculation.
Half-adder , Full-adder , 4-bit binary adder , adder-subtractor circuit, overflow with rtl & testbench. Binary Multiplier, Parity error TT
Arithmetic, logical, shift micro-operations . Stack organization, LIFO, RPN discussion.
VHDL rtl - Synchronous flip-flop , latch, shim to improve timing and counter example
RTL coding guidelines. ICG cell, Assertions, $assertkill, levels.
Digital design Interview questions.
FPGA Interview. FPGA flow.
Guide to Graduate studies in US
Pipeline vs. Parallel processing.
Digital design resources
Clock Domain Crossing Discussion with
rtl & testbench example.
Rate change(asynchronous) FIFO design and fifo depth calculation.
Half-
VHDL rtl -
RTL coding guidelines. ICG cell, Assertions, $assertkill, levels.
Digital design Interview questions.
FPGA Interview. FPGA flow.
Guide to Graduate studies in US
Pipeline vs. Parallel processing.
Digital Logic fundamentals topics @ fcd
Digital basics tutorial
Binary number discussion, 1 and 2 complement discussion,
Binary arithmetic, Signed Magnitude, overflow, examples
Gray coding, Binary coded digital (BCD) coding, BCD addition
Digital logic gates basic (AND, OR, XOR, NOT) and derived (NAND, NOR and XNOR). Drive XOR from NAND gates. Drive XOR from NOR gates
Discussion of Boolean Algebra with examples.
Duality Principle, Huntington Postulates, Theorems of Boolean Algebra - discussion with examples,
Boolean Functions,
Canonical and Standard Forms, Minterms and Maxterms
Sum of Minterms, Product of Maxterms or Canonical Forms,
Karnaugh map or K-map discussion 2, 3, ,4 and 5 var’s
Prime Implicant and Gate level minimization examples.
Digital basics tutorial
Binary number discussion, 1 and 2 complement discussion,
Binary arithmetic, Signed Magnitude, overflow, examples
Gray coding, Binary coded digital (BCD) coding, BCD addition
Digital logic gates basic (AND, OR, XOR, NOT) and derived (NAND, NOR and XNOR). Drive XOR from NAND gates. Drive XOR from NOR gates
Discussion of Boolean Algebra with examples.
Duality Principle, Huntington Postulates, Theorems of Boolean Algebra -
Canonical and Standard Forms, Minterms and Maxterms
Sum of Minterms, Product of Maxterms or Canonical Forms,
Karnaugh map or K-
Prime Implicant and Gate level minimization examples.