You are going to design a combinational circuit which has 4-bits binary input (w, x, y, z) and 5-bits BINARY CODED DECIMAL output. The output of combinational circuit is going to be displayed on 7-Segment as 2-digit Decimal Number.
4-Bits BCD Converter Circuit has the features below;
• Circuit has 4 binary inputs (w, x, y, z).
• Circuit has 5 binary outputs ($B_4$, $B_3$, $B_2$, $B_1$, $B_0$)
• The output ($B_4$, $B_3$, $B_2$, $B_1$, $B_0$) of the circuit is BCD equivalent of the input (w, x, y, z).
7-Segment display indicates the BCD number as two digit decimal number.
Last 4-digits of BCD output must be connected to Digit-0's inputs respectively ($B_0$ →A, $B_1$→B, $B_2$→C, $B_3$ →D).
First digit of BCD output must be connected to Digit-1's input A and all other inputs of Digit-1 must be logic-0 (B→0, C→0, and D→0).
You are going to;
a) Fill the truth table according to your "binary to BCD converter" design.
b) Find the simplified AND-OR expression (Sum of Product) by using 4-variable K-map.
c) Draw the logic diagram of the simplified function by using any gates which has 2-inputs. (You can use all the gates which are available for your design.)
d) The output of the circuit that you designed for "binary to BCD conversion" must be connected to 7-Segment, which is explained in the previous section.