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Design and draw logic diagram of 15-bit binary adder.

Design and draw logic diagram of 15-bit binary adder.

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Answer #1

For designing 15-bit binary adder, 15 numbers of 1 bit adder will be required.

AO O :in Oso cout BOO A10 cin, 17 Os cout B10 A2|0 cin + cout Os2 B20 A30 cin + cout Os3 B30 A410 Cin + cout Os4 B40 A50 cin

where, A0,...,A14 = first 15-bit number

           B0,....,B14 = second 15-bit number

      First Cin = 0(constant),    Else Cin = Cout of previous adder

           S0,...,S14 = Sum of the 15 bit numbers

           Cout = Carry after addition

A0 and B0 = Least Significant Bit

A14 and B14 = Most Significant Bit

1 bit adder logic circuit diagram :

= 1 А B GN =1 S & COUT 21 &

Truth Table for the given diagram:

Cin A B Sum Cout
0 0 0 0 0
0 0 1 1 0
0 1 0 1 0
0 1 1 0 1
1 0 0 1 0
1 0 1 0 1
1 1 0 0 1
1 1 1 1 1
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