Hey everyone!
I have just started a course on circuit design and need to design a circuit that converts 2s complement binary from a hex keyboard to decimal on a 7 segment display. I can only use AND OR and NOT gates, as this will be my first assignment. I have done the Karnaugh maps and have the following:
(I am using ' for the complement)
a: x'z' + w'y + wx' + xy'z
b: w'x' + y'z' +wx + wy' + w'yz
c: y' + z +w'x + wx'
d: x'z' + yz' + w'x'y + xy'z
e: x'y' + yz'
f: y'z' + w'xy' + wx'y + w'xyz'
g: xy' + yz' + w'x'y + wy'z' + wx'y
I am wondering if there is any way to further simplify the expressions within each of the segments, or whether I should just pair like terms within the segments. It's just looking like it's going to be a pretty crowded design...
Any help would be greatly appreciated. Thanks everyone!
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I have just started a course on circuit design and need to design a circuit that converts 2s complement binary from a hex keyboard to decimal on a 7 segment display. I can only use AND OR and NOT gates, as this will be my first assignment. I have done the Karnaugh maps and have the following:
(I am using ' for the complement)
a: x'z' + w'y + wx' + xy'z
b: w'x' + y'z' +wx + wy' + w'yz
c: y' + z +w'x + wx'
d: x'z' + yz' + w'x'y + xy'z
e: x'y' + yz'
f: y'z' + w'xy' + wx'y + w'xyz'
g: xy' + yz' + w'x'y + wy'z' + wx'y
I am wondering if there is any way to further simplify the expressions within each of the segments, or whether I should just pair like terms within the segments. It's just looking like it's going to be a pretty crowded design...
Any help would be greatly appreciated. Thanks everyone!
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