Yes you can a job in Intel. But for that you will have to learn various Software's. I will list down those names down below, but before that let me name few topics from your Electronics Background.
Brush up your Digital Electronics, Verilog, Basics of Electronics, Modulation and little bit of Antenna.
Try to learn software like Mentor(IC Studio), Cadence, Hspice, Modelsim, Cadence, Matlab, Pspice, Microcap. You may have access to some of these. Out of these Cadence and Mentor are very relevant software for the digital design.
All the best!!
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