Question

Design a decoder that converts unsigned 4-bit binary numbers to codes for displaying the decimal value...

Design a decoder that converts unsigned 4-bit binary numbers to codes for displaying the decimal value of the binary number on two seven-segment displays. Leading zeros should be displayed as a blank display.

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Answer #1

step 1:

convert the input binary into BCD(binary coded decimal)

the binary to BCD decoder will have 4 input binary and 5-bit output BCD.

BCD number has a range of 0-9.

if the number exceeds 9 in binary then a binary of 6 is added to it.

the truth table for binary to BCD

circuit:

now the lowe 4 bits are given to a BCD to 7 segment decoder and its output to the 7 segment  display LSB

and MSB with 0 appended to the front are given to MSB is given to decoder 2 and output is given to seven-segment display MSB

BCD 7 segment decoder

truth table

note: hence ABCD is the BCD input number

now the final circuit:

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